Abstract
We study the linear evolution of a Gaussian pulse injected at different locations along a one-dimensional (1D) hot (T ≥ 6.3 MK) coronal loop, including the dissipative effects of thermal conduction, viscosity, heating, and radiative cooling. We consider perfectly homogeneous loops of different lengths (50 ≤ L ≤ 400 Mn) and values of the pulse witdth (or standard deviation, β_{g}/L) between 0.005 and 0.02. We find that a Gaussian velocity pulse can generate standing oscillations that exhibit a phase shift between 1/5 and 1/3 period between velocity and density. Since a Gaussian pulse is made up of many harmonics, the wave shape is rather irregular because it may be the result of the superposition of several harmonics. Wave damping is faster in the shortest and hottest loops because of the increasing effects of thermal conduction and viscosity. The decay times and periods of the waves are within the observed values of decaying modes of hot SUMMER loop oscillations.